Results 221 to 230 of about 68,458 (245)

Chen’s first inequality for Riemannian maps

Annales Polonici Mathematici, 2016
Summary: We obtain a basic Chen inequality for Riemannian maps between Riemannian manifolds.
openaire   +4 more sources

HARMONIC MAPS OF COMPLETE NONCOMPACT RIEMANNIAN MANIFOLDS

International Journal of Mathematics, 1991
Given a map \(\phi: M\to N\) between complete Riemannian manifolds, under what conditions is there a harmonic map \(u: M\to N\) homotopic to \(\phi\), with distance \(\sup(d_ N(u(x),\varphi(x)): x\in M)
Ding, Weiyue, Wang, Youde
openaire   +2 more sources

Notes on riemannian maps

2017
In this paper, we first find necessary and sufficient conditions for the total space of a Riemannian map to be an Einstein manifold and then we obtain various inequalities in terms of the scalar curvatures of the base space, fibers and images. In the equality cases of those inequalities, we obtain harmonicity and totally geodesicity of such maps.
openaire   +2 more sources

Conformal Riemannian Maps between Riemannian Manifolds, Their Harmonicity and Decomposition Theorems

Acta Applicandae Mathematicae, 2008
Let \((M_{1}^{m}, g_{1})\) and \((M_{2}^{n}, g_{2})\) be Riemannian manifolds and \(f: (M_{1}^{m}, g_{1})\longrightarrow (M_{2}^{m}, g_{2})\) a smooth map between them.
openaire   +2 more sources

Semi-Riemannian Transversal Maps

1999
In this chapter, we generalize the notion of a semi-Riemannian map to the notion of a semi-Riemannian map with respect to a semi-Riemannian foliation on the target manifold. If this semi-Riemannian foliation is taken to be the points of the target manifold, then the definition of a semi-Riemannian map with respect to such a foliation reduces to the ...
Eduardo García-Río, Demir N. Kupeli
openaire   +1 more source

Conformal Slant Riemannian Maps

2022
Conformal slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds are introduced. We give a non-trivial example of proper conformal slant Riemannian maps, obtain conditions for certain distributions to be integrable and find totally geodesicity conditions for leaves of distributions.
Yanan, Ş., Şahin, B.
openaire   +1 more source

HARMONIC MAPPINGS OF RIEMANNIAN MANIFOLDS.

American Journal of Mathematics, 1964
Eells, James jun., Sampson, J. H.
openaire   +2 more sources

V-Quasi-Bi-Slant Riemannian Maps

Symmetry, 2022
Sushil Kumar, Mohd Bilal, Rajendra Prasad   +2 more
exaly  

Clairaut Anti-invariant Riemannian Maps from Kähler Manifolds

Mediterranean Journal of Mathematics, 2022
Akhilesh Yadav, Kiran Meena
exaly  

Error-based control systems on Riemannian state manifolds: Properties of the principal pushforward map associated to parallel transport

Mathematical Control and Related Fields, 2021
Simone Fiori
exaly